808298400 has 288 divisors, whose sum is σ = 3239042688. Its totient is φ = 170496000.

The previous prime is 808298383. The next prime is 808298401. The reversal of 808298400 is 4892808.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (808298401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216550 + ... + 220250.

It is an arithmetic number, because the mean of its divisors is an integer number (11246676).

Almost surely, 2^808298400 is an apocalyptic number.

808298400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 808298400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619521344).

808298400 is an abundant number, since it is smaller than the sum of its proper divisors (2430744288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

808298400 is a wasteful number, since it uses less digits than its factorization.

808298400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744 (or 3731 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 808298400 is about 28430.5891602689. The cubic root of 808298400 is about 931.5165451749.

The spelling of 808298400 in words is "eight hundred eight million, two hundred ninety-eight thousand, four hundred".